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Finding the Fourth Proportional to 451,416.08, 622,998.74 and 257,852.71

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Solution

The fourth proportional to 451,416.08, 622,998.74 and 257,852.71 is: 355,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,416.08 : 622,998.74 = 257,852.71 : x
  2. Step 2: Convert to fraction form
    451,416.08/622,998.74 = 257,852.71/x
  3. Step 3: Cross multiply
    451,416.08x = 622,998.74 × 257,852.71
  4. Step 4: Simplify right side
    451,416.08x = 160,641,913,435.59
  5. Step 5: Solve for x
    x = 160,641,913,435.59/451,416.08
  6. Step 6: Final answer
    x = 355,862.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.